Question

The radius of spherical balloon increase from 7 cm to 14 cm as air is being pumped into it.find the ratio of the surface areas of balloons in these situations.

Answer 1

Answer:

1:4

Step-by-step explanation:

Let previous surface area be SA

Let new surface area be SA`

Let previous radius be "r"

Let new radius be "2r" ( As 14 is double of 7 )

So

SA =

$4\pi \: r ^{2}$

And

SA` =

$4\pi \: {(2r)}^{2}$

$16\pi \: {r}^{2}$

So ratio :

$\frac{4\pi \: {r}^{2} }{16\pi {r}^{2} }$

Ratio : 1:4

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Answer 2

hope it helps you..............